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Finding the Fourth Proportional to 1,583.04, 2,185.68 and 993.84

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Solution

The fourth proportional to 1,583.04, 2,185.68 and 993.84 is: 1,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.04 : 2,185.68 = 993.84 : x
  2. Step 2: Convert to fraction form
    1,583.04/2,185.68 = 993.84/x
  3. Step 3: Cross multiply
    1,583.04x = 2,185.68 × 993.84
  4. Step 4: Simplify right side
    1,583.04x = 2,172,216.21
  5. Step 5: Solve for x
    x = 2,172,216.21/1,583.04
  6. Step 6: Final answer
    x = 1,372.18

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.